Quote from: coric on February 04, 2015, 07:51:31 AM

Quote from: username18333 on February 04, 2015, 02:11:33 AM

Code:

( ∀𝑥 𝑥 ∈ (0⁺, *0⁻) ) ⇒ [( 0 ± 𝑥 = {0⁻ − 𝑥, 0⁺ + 𝑥} = {−𝑥, 𝑥} ) ∧ ( *0 ± 𝑥 = {*0⁺ + 𝑥, *0⁻ − 𝑥} = {−*𝑥, *𝑥} )]

It is not an infinity point (coric), for such a point would not accomodate conventional mathematics hyperreal numbers. Instead, it is an originone that has been missed sorely.

The "point" is the one which you add to the complex plane to make the sphere ^C (can't post correct symbol on my phone). Guess after whom it is named Wink

And hyperteal numbers? The Riemann zeta function is defined on the complex plane! You can't even formulaze the hypothesis in some set where you add some funny infinitesimals to the real numbers in order to make 1/x somehow more pleasing. In complex analysis that's already as simple as it can get.

Code:

( ∀𝑥 𝑥 ∈ (0⁺, *0⁻) ) ⇒ ( 𝜉(*0 ± 𝑥) = ½[½ + 𝑖(*0 ± 𝑥)]([½ + 𝑖(*0 ± 𝑥)] − 1)𝜋^(−[½ + 𝑖(*0 ± 𝑥)] ÷ 2)Γ([½ + 𝑖(*0 ± 𝑥)] ÷ 2)𝜁(½ + 𝑖(*0 ± 𝑥)) ≟ 0 )

You were saying?